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Simplifying 3(2y + 5) = 5(1 + -1y) Reorder the terms: 3(5 + 2y) = 5(1 + -1y) (5 * 3 + 2y * 3) = 5(1 + -1y) (15 + 6y) = 5(1 + -1y) 15 + 6y = (1 * 5 + -1y * 5) 15 + 6y = (5 + -5y) Solving 15 + 6y = 5 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 15 + 6y + 5y = 5 + -5y + 5y Combine like terms: 6y + 5y = 11y 15 + 11y = 5 + -5y + 5y Combine like terms: -5y + 5y = 0 15 + 11y = 5 + 0 15 + 11y = 5 Add '-15' to each side of the equation. 15 + -15 + 11y = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 11y = 5 + -15 11y = 5 + -15 Combine like terms: 5 + -15 = -10 11y = -10 Divide each side by '11'. y = -0.9090909091 Simplifying y = -0.9090909091
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